Class Probabilities and Statistics

Calculate and interpret descriptive statistical measures and identify their properties. Understand and calculate probabilities using Laplace's definition and Kolmogorov's axiomatization. Use counting techniques: permutations, arrangements and combinations. Calculate conditioned probability and apply the Bayes' theorem. Use the concept of random variable and operate with probability functions and distributions. Know the most important discrete and continuous distributions and some of their properties. Calculate confidence intervals and apply hypothesis tests and interpret the results obtained. Use the simplex algorithm to solve linear programming problems. Calculate the free maximum / minimum of a function by the bisection and gradient method. Solve nonlinear programming problems by the Lagrange multiplier method. Evaluate the KKT conditions of an NLP problem. Solve NLP problems by the Wolfe and Lemke methods